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Finding the Third Proportional to 45,315 and 68,932.50

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Solution

The third proportional to 45,315 and 68,932.50 is: 104,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,315 : 68,932.50 = 68,932.50 : x
  2. Step 2: Convert to fraction form
    45,315/68,932.50 = 68,932.50/x
  3. Step 3: Cross multiply
    45,315x = 68,932.50 × 68,932.50
  4. Step 4: Simplify right side
    45,315x = 4,751,689,556.25
  5. Step 5: Solve for x
    x = 4,751,689,556.25/45,315
  6. Step 6: Final answer
    x = 104,859.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.